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Finding the Third Proportional to 292,205 and 715,722.50

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Solution

The third proportional to 292,205 and 715,722.50 is: 1,753,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,205 : 715,722.50 = 715,722.50 : x
  2. Step 2: Convert to fraction form
    292,205/715,722.50 = 715,722.50/x
  3. Step 3: Cross multiply
    292,205x = 715,722.50 × 715,722.50
  4. Step 4: Simplify right side
    292,205x = 512,258,697,006.25
  5. Step 5: Solve for x
    x = 512,258,697,006.25/292,205
  6. Step 6: Final answer
    x = 1,753,079.85

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.